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Finding the Fourth Proportional to 422,736.13, 583,111.15 and 277,549.40

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Solution

The fourth proportional to 422,736.13, 583,111.15 and 277,549.40 is: 382,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,736.13 : 583,111.15 = 277,549.40 : x
  2. Step 2: Convert to fraction form
    422,736.13/583,111.15 = 277,549.40/x
  3. Step 3: Cross multiply
    422,736.13x = 583,111.15 × 277,549.40
  4. Step 4: Simplify right side
    422,736.13x = 161,842,151,100.12
  5. Step 5: Solve for x
    x = 161,842,151,100.12/422,736.13
  6. Step 6: Final answer
    x = 382,844.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.